stokes_couette_slip_error.cc
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#include "rheolef.h"
using namespace rheolef;
using namespace std;
point u_exact (const point& x) { return point(-x[1],x[0]); }
int main(int argc, char**argv) {
environment rheolef (argc, argv);
Float tol = (argc > 1) ? atof(argv[1]) : 1e-10;
field uh, ph;
din >> catchmark("u") >> uh
>> catchmark("p") >> ph;
const space& Xh = uh.get_space(),
Qh = ph.get_space();
const geo& omega = Xh.get_geo();
size_t k = Xh.degree();
Float meas_omega = integrate(omega);
field pi_h_u = interpolate (Xh,u_exact),
pi_h_p (Qh, 0.);
trial u (Xh), p (Qh);
test v (Xh), q (Qh);
form m = integrate (dot(u,v)),
a = integrate (ddot(grad(u),grad(v)));
integrate_option iopt;
iopt.set_order (2*(k+2)+3);
Float err_l2_u = sqrt(integrate (omega, norm2(uh-pi_h_u), iopt)/meas_omega);
derr << "err_l2_u = " << err_l2_u << endl;
return (err_l2_u < tol) ? 0 : 1;
}
Float
see the Float page for the full documentation
field
see the field page for the full documentation
form
see the form page for the full documentation
geo
see the geo page for the full documentation
point
see the point page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition: catchmark.h:67
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
rheolef::integrate_option
see the integrate_option page for the full documentation
Definition: integrate_option.h:125
rheolef::integrate_option::set_order
void set_order(size_t r)
Definition: integrate_option.h:254
rheolef::std
Definition: vec_expr_v2.h:402
rheolef::point
point_basic< Float > point
Definition: point.h:164
rheolef::din
idiststream din
see the diststream page for the full documentation
Definition: diststream.h:427
rheolef::derr
odiststream derr(cerr)
see the diststream page for the full documentation
Definition: diststream.h:436
space
see the space page for the full documentation
test
see the test page for the full documentation
trial
see the test page for the full documentation
mkgeo_sector.m
m
Definition: mkgeo_sector.sh:118
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
rheolef::dot
rheolef::std enable_if ::type dot const Expr1 expr1, const Expr2 expr2 dot(const Expr1 &expr1, const Expr2 &expr2)
dot(x,y): see the expression page for the full documentation
Definition: vec_expr_v2.h:415
rheolef::grad
std::enable_if< details::is_field_convertible< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::gradient >>::type grad(const Expr &expr)
grad(uh): see the expression page for the full documentation
Definition: field_expr_terminal.h:911
rheolef::integrate
std::enable_if< details::is_field_expr_v2_nonlinear_arg< Expr >::value &&! is_undeterminated< Result >::value, Result >::type integrate(const geo_basic< T, M > &omega, const Expr &expr, const integrate_option &iopt, Result dummy=Result())
see the integrate page for the full documentation
Definition: integrate.h:202
rheolef::interpolate
field_basic< T, M > interpolate(const space_basic< T, M > &V2h, const field_basic< T, M > &u1h)
see the interpolate page for the full documentation
Definition: interpolate.cc:233
rheolef::norm2
T norm2(const vec< T, M > &x)
norm2(x): see the expression page for the full documentation
Definition: vec.h:379
rheolef::ddot
T ddot(const tensor_basic< T > &a, const tensor_basic< T > &b)
ddot(x,y): see the expression page for the full documentation
Definition: tensor.cc:278
rheolef.h
rheolef - reference manual
u_exact
point u_exact(const point &x)
Definition: stokes_couette_slip_error.cc:24
main
int main(int argc, char **argv)
Definition: stokes_couette_slip_error.cc:25
a
Definition: diffusion_isotropic.h:25
p
Definition: sphere.icc:25
u_exact
Definition: interpolate_RTk_polynom.icc:125
u
Definition: leveque.h:25
u
Float u(const point &x)
Definition: transmission_error.cc:26